【正文】 本科畢業(yè)設(shè)計(jì)(論文)題目：自適應(yīng)濾波器的計(jì)算機(jī)實(shí)現(xiàn)院 （系）： 專 業(yè)： 班 級(jí)： 學(xué) 生： 學(xué) 號(hào)： 指導(dǎo)教師： 2022 年 6 月自適應(yīng)濾波器的計(jì)算機(jī)實(shí)現(xiàn)摘要自適應(yīng)濾波器是當(dāng)今自適應(yīng)信號(hào)處理中最為活躍的研究課題之一。自適應(yīng)濾波器有廣闊的應(yīng)用前景，特別是在數(shù)字通信領(lǐng)域，自適應(yīng)均衡是一種成熟技術(shù)，對(duì)包括語音頻帶、微波、對(duì)流層散射無線通信、有線電視調(diào)制解調(diào)器等數(shù)字通信系統(tǒng)影響最大。在無線通信系統(tǒng)中，一般很難知道接收信號(hào)的自相關(guān)量和接收信號(hào)與發(fā)送信號(hào)的相關(guān)量，對(duì)于維納濾波器,需要事先估計(jì)出自相關(guān)與互相關(guān)量，這是非常不方便的。雖然卡爾曼濾波方法無需事先知道自相關(guān)與互相關(guān)量，但它必須知道系統(tǒng)的狀態(tài)方程和噪聲的統(tǒng)計(jì)特性，這在實(shí)際中也是很難辦到的。根據(jù)卡爾曼濾波的思想，Widrow 等提出了一種自適應(yīng)最小均方誤差算法(LMS)，這種算法不需要事先知道相關(guān)矩陣，只需調(diào)整 FIR 濾波器的權(quán)系數(shù)，便可使接收信號(hào)收斂于最佳值，因此對(duì)自適應(yīng)濾波器的研究非常有意義。本論文在 MATLAB 平臺(tái)上編寫自適應(yīng)算法的 M 文件，進(jìn)行系統(tǒng)仿真，并對(duì)濾波器的階數(shù)、收斂步長、跟蹤速度和穩(wěn)態(tài)誤差進(jìn)行了詳細(xì)的分析和研究，得出了合理的結(jié)果。關(guān)鍵詞：自適應(yīng)均衡，自適應(yīng)濾波器，LMS 算法 ，MATLAB 仿真Computer realization of the adaptive filterAbstract The research of adaptive filter is one of the most activity tasks. The adaptive filter has been widely used in various technique fields, particularly in digital munication, adaptive equalization is a kind of mature technology, it have great impact on digital munication system such as Audio frequency, microwave, wireless munication via tropospheric scatter, modem of cable TV and so on. In general ，it is difficult to know the received signal39。s autocorrelation volume and correlation volume of the received signal and the sent signal In wireless munication systems . The Wiener filter needs to estimate autocorrelation and cross correlation volume which is very inconvenient. Although the Kalman filtering method does not need to know the autocorrelation and cross correlation volume in advance, it must know the state equation of system and the statistical characteristics of noise, which is very difficult in practice. Widrow proposed a least mean square error of adaptive algorithm (LMS) Based on the idea of the Kalman, this algorithm does not need to know the correlation matrix in advance, simply adjust the weight coefficients of the FIR filter, then you can receive the signal that converge the best value, so the research of the adaptive filter is very meaningful. In this paper the Mfile of the adaptive algorithm have be written in MATLAB platform so that Completed system simulation, detailed analysis and research for filter order, convergence step, the tracking speed and steady state error were Completed , and reasonable results were obtained.Keywords: adaptive equalization，adaptive filter，LMS algorithm，MATLAB simulation目錄摘要 .............................................................................................................IABSTRACT .............................................................................................II略 語 表 .....................................................................................................I1 緒論 ......................................................................................................1 前言 .................................................................................................................1 課題研究的意義 .............................................................................................1 通信系統(tǒng)中的失真分析 .................................................................................1 數(shù)字基帶傳輸系統(tǒng)模型 .......................................................................1 通信系統(tǒng)中的噪聲干擾 .......................................................................3 通信系統(tǒng)的傳輸特性 ..........................................................................5 自適應(yīng)濾波技術(shù) .............................................................................................6 自適應(yīng)濾波理論 ..................................................................................6 均衡技術(shù) ..............................................................................................6 主要研究內(nèi)容 .................................................................................................7 論文的研究目標(biāo) ..................................................................................7 論文的研究意義 ..................................................................................7 論文的章節(jié)安排 ..................................................................................82 自適應(yīng)濾波原理與應(yīng)用 ......................................................................9 自適應(yīng)濾波原理 .............................................................................................9 自適應(yīng)濾波器的分類 ..........................................................................9 自適應(yīng)濾波器的基本構(gòu)成 ................................................................10 與普通濾波器的區(qū)別 ........................................................................10 自適應(yīng)過程 ........................................................................................11 自適應(yīng)濾波結(jié)構(gòu) ...........................................................................................11 單位脈沖響應(yīng)類型 ............................................................................11 濾波器的實(shí)現(xiàn)結(jié)構(gòu) ............................................................................12 橫向型 FIR 自適應(yīng)濾波器 ................................................................14 自適應(yīng)濾波器的應(yīng)用 ...................................................................................15 主要應(yīng)用類型 ....................................................................................15 自適應(yīng)均衡器 ....................................................................................15 目前常見的自適應(yīng)算法研究與比較 ................................................163 LMS 算法和變步長 LMS 算法分析 .....................................................19 傳統(tǒng) LMS 算法和變步長 LMS 算法比較分析 ...............................................19 固定步長 LMS 算法分析 ...............................................................................20 變步長 LMS 算法濾波器的實(shí)現(xiàn)： ...............................................................22 步長與誤差信號(hào)建立關(guān)系 ................................................................22 步長與誤差和輸入信號(hào)的估計(jì)值建立關(guān)系 ....................................29 步長與誤差信號(hào)的自相關(guān)估計(jì)值建立關(guān)系 ....................................304 LMS 算法在信道突變的情況下的算法研究 .....................................32 性能測量方法 ....................................